The Reds are believed to be very close to tying up an £8m move for the striker, with negotiations between the player and the club thought to be at an advanced stage.
However, a deal has yet to be finalised, which has left the door open for a number of potential rivals to nip in and steal the hot-shot from the Merseysiders.
But, despite there being interest from some top clubs from across the continent, sources in Spain claim that the Celta Vigo man has set his heart on a transfer to Liverpool.
“Celta have more offers than just the one from Liverpool.
“There are offers from other Premier League sides, and from Italian and German teams that have qualified for the Champions League.
“They also have a very good offer from Benfica.
“However, Iago wants to play in England, and his preference is still for Liverpool.
“I believe this will all be resolved either this week or next.”
Liverpool are thought to be keen to draft in a new striker, with the future of Luis Suarez far from certain.
As well as Aspas, they have been linked with Shakhtar Donetsk’s Armenian sensation Henrikh Mkhitaryan.